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Finding the Fourth Proportional to 469,472.16, 704,247.72 and 149,669.52

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Solution

The fourth proportional to 469,472.16, 704,247.72 and 149,669.52 is: 224,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,472.16 : 704,247.72 = 149,669.52 : x
  2. Step 2: Convert to fraction form
    469,472.16/704,247.72 = 149,669.52/x
  3. Step 3: Cross multiply
    469,472.16x = 704,247.72 × 149,669.52
  4. Step 4: Simplify right side
    469,472.16x = 105,404,418,213.49
  5. Step 5: Solve for x
    x = 105,404,418,213.49/469,472.16
  6. Step 6: Final answer
    x = 224,516.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.